TELECOMMUNICATIONS AND RADIO ENGINEERING - 2009 Vol. 68,
No 11 		 

 

 

 

Influence of Dissipation on Properties of Cyclotron Waves in a Semiconductor Periodical Structure

A.A. Bulgakov, V.K. Kononenko, and O.V. Kostylyova
A. Usikov Institute of Radio Physics and Electronics,
National Academy of Sciences of Ukraine
12, Academician Proskura St., Kharkiv 61085, Ukraine

Abstract
Influence of dissipation in the semiconductor substrate of the periodical semiconductor-dielectric layered structure on the pass band contour of the eigen waves is investigated. It is shown that consideration of the dissipation gives rise to the occurrence of the turning of dispersion curves for the electromagnetic waves propagating in such a structure. At the same time the minimum value of the phase velocity is limited. It is found that when the collision frequency value is large one of the band edges in the region of cyclotron waves is degenerate, i.e., the “zone destruction” takes place.

References

  1. Lyubchanskii, I.L., Dadoenkova, N.N., Lyubchanskii, M.I. at al., (2003), Magnetic photonic crystal, J. Phys. D: Appl.Phys. 36:277-287.
  2. Makarov, D.G., Danilov, V.V., and Kovalenko, V.F., (2004), Multilayer structures with optical characteristics controlled by a magnetic field, Optics and Spectroscopy, 97:592-595.
  3. Bulgakov, À.À., and Kononenko, V.K., (2005), The influence of the translation symmetry on the electrodynamic properties of the semiconductor-dielectric structure in a magnetic field, Radiofizika i Elektronika, 5(3):69-78 (in Russian).
  4. Yeh, P., Yariv, A., and Hong, C.-S., (1977), Electromagnetic propagation in periodic stratified media. I. General theory, J. Opt. Soc. Am.  67(4):423-436.
  5. Alfano, R.R., (1970), Damping effects on the polaritons and plasmaritons dispersion waves in n-GaAs, J. Opt. Soc. Amer. 60(1):66-70.
  6. Borstel, G., Shuller E., and Flage, H.J., (1976), Surface phonon polaritons on absorbing crystal, Phys Stat. Sol. (B), 76:759-768.
  7. Kovener, G.S., Alexander, R.W.Jr., and Beil, J.R., (1976), Surfase electormagnetic waves with damping, Phys. Rev. B., 14(4):1458-1464.
  8. Bulgakov, A.À., Eremenko, Z.E., (1989), Propagation of slow electromagnetic waves in a layered periodic dielectric medium, Optics and Spectroscopy, 66(5):640-642 (in Russian).
  9. Bulgakov, A.À., and Kononenko, V.K., (2003), Dispersion properties of a periodic semiconductor structure in a magnetic field directed along the periodicity axis, Technical Physics, 48(11):1372-1379 (in Russian).
  10. Bulgakov, A.À., and Kononenko, V.K., (2004), Dispersion properties of cyclotron waves in periodic semiconductor-insulator structures, Technical Physics, 49(10):1313-1318 (in Russian).
  11. Born, M., and Wolf, E., (1997), Principles of Optics, Cambridge Univ. Press, Cambridge.
  12. Bass, F.G., Bulgakov, A.A., and Tetervov, A.P., (1989), High-Frequency Properties of Semiconducting Superlattices, Nauka, Moskow:286 (in Russian).
  13. Elachi, C., (1976), Waves in active and passive periodic structures, Proccedings of the IEEE, 64(12):1666- 1698 .
  14. Gurevich, A.G., (1963), Ferrites at microwave frequencies, Consultants Bureau,
    329 p.
  15. Baynham, A.C., and Boardman, A.D., (1969), Transverse magneto-plasma waves in a periodic structure, J. Phys. C. 2(2):619-628.
  16. Wallis, R.F., Brion, J.J., Burstein, E., and Harstein, A., (1974), Theory of surface polaritons in anisotropic dielectric media with application to surface magnetoplasmons in semiconductors, Phys. Rev. B. 9(8):3424-3437.


pages 973-982

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